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Finding the Third Proportional to 1,018,123 and 1,496,020

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Solution

The third proportional to 1,018,123 and 1,496,020 is: 2,198,237.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018,123 : 1,496,020 = 1,496,020 : x
  2. Step 2: Convert to fraction form
    1,018,123/1,496,020 = 1,496,020/x
  3. Step 3: Cross multiply
    1,018,123x = 1,496,020 × 1,496,020
  4. Step 4: Simplify right side
    1,018,123x = 2,238,075,840,400
  5. Step 5: Solve for x
    x = 2,238,075,840,400/1,018,123
  6. Step 6: Final answer
    x = 2,198,237.19

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.